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Anon25 [30]
3 years ago
7

Which pair of angles must be congruent?

Mathematics
1 answer:
Allushta [10]3 years ago
5 0
The answer is:  [D]: vertical angles.
_______________________________
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A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to
vovikov84 [41]

Answer:

30.1 feet.  

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(62^{\circ})=\frac{h}{16}

h=16\cdot \text{tan}(62^{\circ})

h=16\cdot 1.880726465346

h=30.0916234\approx 30.1

Therefore, the poll is approximately 30.1 feet tall.

6 0
3 years ago
5
Romashka [77]

9.42 Units

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2(3.14)r

r = 2 therefore: 2(3.14)2 = 12.56

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us  9.42

8 0
3 years ago
it takes 52 minutes for 5 people to paint 5 walls. How many minutes does it takr 20 people to paint 20 walls
777dan777 [17]

Answer:

208 minutes = 3.47 hours

Step-by-step explanation:

It takes each person 10.4 minutes for 1 wall. So 20 people would take 208 minutes for 20 people to paint 20 walls

52/5 = 10.4

20 x 10.4 = 208

5 0
3 years ago
Read 2 more answers
Leslie ran a total of 8 miles over the course of 4 track practices. How many miles would Leslie have ran after 5 track practices
Colt1911 [192]

Answer:

10 miles

Step-by-step explanation:

Find how much she runs during one track practice by dividing 8 by 4. This gives you the equation 2x, with x being the number of track practices.

5 0
3 years ago
Read 2 more answers
Determine the circumference of<br>a circle with diameter 28 cm. Show your work​
gulaghasi [49]

Answer:

Step-by-step explanation:

Diameter = 28 cm

therefore, radius = 28 / 2 = 14 cm

Circumference = 2 π r

= 2 × 22 / 7 × 14

= <u><em>88 cm</em></u>

Hope this helps

plz mark as brainliest!!!!!

8 0
3 years ago
Read 2 more answers
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